11634951120 has 320 divisors, whose sum is σ = 40746392064. Its totient is φ = 2724986880.

The previous prime is 11634951103. The next prime is 11634951149. The reversal of 11634951120 is 2115943611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20164272 + ... + 20164848.

Almost surely, 2^11634951120 is an apocalyptic number.

11634951120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11634951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20373196032).

11634951120 is an abundant number, since it is smaller than the sum of its proper divisors (29111440944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11634951120 is a wasteful number, since it uses less digits than its factorization.

11634951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 11634951120 in words is "eleven billion, six hundred thirty-four million, nine hundred fifty-one thousand, one hundred twenty".